关于无界多项式动力系统

Pub Date : 2018-12-30 DOI:10.3336/gm.53.2.07

Hamza Boujemaa, Said El Qotbi

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引用次数: 3

摘要

假设给定一个m次的多项式动力系统，已知如果对应的m次齐次动力系统的代数有一个幂等元，则原动力系统是无界的。在此工作中，我们给出了在没有幂等性时保证无界性的一个充分条件。并给出了一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On unbounded polynomial dynamical systems

Suppose given a polynomial dynamical system of degree m. It is known that if the algebra associated to the corresponding homogeneous dynamical system of degree m has an idempotent element then the original dynamical system is unbounded. In this work, we give a sufficient condition ensuring the unboundedness even when there is no idempotent. Some applications are also given.

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